Numeric.Log:$clog1p from log-domain-0.10.2.1, A

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.1s (20%)

Memory
31.7MiB live, 675.3MiB allocated
Samples
773.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 531.0ms
ival-add: 268.0ms (50.5% of total)
ival-mult: 249.0ms (46.9% of total)
ival-true: 5.0ms (0.9% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain94.0ms (1.8%)

Memory
25.4MiB live, 134.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
28.0ms512×0valid
Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (61.7% of total)
ival-add: 4.0ms (27.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess262.0ms (4.9%)

Memory
-33.1MiB live, 103.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051
18249
227346
356245
4106545
5141945
6186345
7240745
8330245
9416045
10477845
11492045
12498045
13501045
14501045
15525045
16568245
17568245
18568245
0811
0139
1349
21089
32599
44189
55439
66779
78409
813909
916689
1019429
1120189
1221129
1321309
021308
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
Symmetry

(abs y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify39.0ms (0.7%)

Memory
31.0MiB live, 31.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff1
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
cost-diff2
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01326
13426
210826
325926
441826
554326
667726
784026
8139026
9166826
10194226
11201826
12211226
13213026
0213025
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y

localize281.0ms (5.3%)

Memory
-46.8MiB live, 24.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy0.0078125
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
accuracy0.01171875
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Samples
275.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (69.6% of total)
ival-add: 2.0ms (27.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
4 → 12
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
Outputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms
x
@inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms
x
@0
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
0.0ms
y
@inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
0.0ms
y
@-inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))

simplify150.0ms (2.8%)

Memory
-14.8MiB live, 125.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036104
110998
238994
3209188
0868184
Stop Event
iter limit
node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(+ (* 2 x) (pow x 2))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) y) y)

rewrite159.0ms (3%)

Memory
43.0MiB live, 225.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01320
16120
255420
0942719
Stop Event
iter limit
node limit
iter limit
Counts
4 → 359
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(*.f64 x (-.f64 x #s(literal -2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (-.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) x)) x)
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))))))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (+.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) x (*.f64 x x)))
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(-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))
(+.f64 (+.f64 (fma.f64 y y (*.f64 x x)) x) x)
(+.f64 (fma.f64 y y (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)) (*.f64 x x))
(+.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(+.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))))
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 y) y))
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))
(+.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)))
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))
(+.f64 x (-.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 x (-.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(+.f64 x (+.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 x (+.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 #s(literal -2 binary64) x))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval58.0ms (1.1%)

Memory
-8.9MiB live, 136.6MiB allocated
Compiler

Compiled 9 908 to 924 computations (90.7% saved)

prune9.0ms (0.2%)

Memory
-10.7MiB live, 36.2MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3626368
Fresh000
Picked101
Done000
Total3636369
Accuracy
100.0%
Counts
369 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.1%
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
55.9%
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
62.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
62.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
45.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Compiler

Compiled 152 to 106 computations (30.3% saved)

simplify173.0ms (3.2%)

Memory
-2.0MiB live, 189.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
cost-diff0
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
cost-diff0
(+.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
cost-diff0
(*.f64 y y)
cost-diff0
(+.f64 #s(literal 2 binary64) x)
cost-diff0
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019112
028103
161103
2161103
3357103
4537103
5672103
6841103
71364103
81686103
92000103
102252103
112803103
123520103
135844103
08396103
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
y
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(+.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -2 binary64))
#s(literal 2 binary64)
x
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))
y
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

localize66.0ms (1.2%)

Memory
19.6MiB live, 81.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 2 binary64) x)
accuracy0.01953125
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
accuracy2.249975228450042
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
accuracy0.0
(*.f64 y y)
accuracy0.0078125
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy23.76229308896567
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy0.0
(+.f64 #s(literal 2 binary64) x)
accuracy0.015625
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy23.86366057741573
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy0.0
(*.f64 y y)
accuracy34.9637459882926
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy0.0
(+.f64 #s(literal 2 binary64) x)
accuracy0.0
(*.f64 y y)
accuracy0.01171875
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
Samples
56.0ms256×0valid
Compiler

Compiled 100 to 18 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 8.0ms (48% of total)
ival-add: 7.0ms (42% of total)
ival-sub: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-35.4MiB live, 11.8MiB allocated
Counts
11 → 33
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 #s(literal 2 binary64) x)
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 #s(literal 2 binary64) x)
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
2
(+ 2 x)
(* 2 x)
(* x (+ 2 x))
(+ (* x (+ 2 (* -1 x))) (pow y 2))
(* x (+ 2 (* -1 x)))
(+ 2 (* -1 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 2 (/ (pow y 2) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)) 1))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* x (- 2 x))
(+ (* x (- 2 x)) (pow y 2))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ (* x (- 2 x)) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ (* (+ 2 x) x) (* y y)) (+ 2 x) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x))
1.0ms
x
@-inf
((+ (* (+ 2 x) x) (* y y)) (+ 2 x) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x))
1.0ms
x
@0
((+ (* (+ 2 x) x) (* y y)) (+ 2 x) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x))
1.0ms
y
@0
((+ (* (+ 2 x) x) (* y y)) (+ 2 x) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x))
1.0ms
y
@inf
((+ (* (+ 2 x) x) (* y y)) (+ 2 x) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x))

simplify179.0ms (3.4%)

Memory
11.8MiB live, 195.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067263
1207257
2686249
33646245
08501231
Stop Event
iter limit
node limit
Counts
33 → 32
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
2
(+ 2 x)
(* 2 x)
(* x (+ 2 x))
(+ (* x (+ 2 (* -1 x))) (pow y 2))
(* x (+ 2 (* -1 x)))
(+ 2 (* -1 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 2 (/ (pow y 2) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)) 1))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* x (- 2 x))
(+ (* x (- 2 x)) (pow y 2))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ (* x (- 2 x)) (pow y 2))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
2
#s(literal 2 binary64)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* x (+ 2 (* -1 x))) (pow y 2))
(fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* x (+ 2 (* -1 x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))) 1))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal -1 binary64)) x #s(literal 2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 2 binary64)) (neg.f64 x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)) 1))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal -1 binary64)) x #s(literal 2 binary64)) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(+ (* 2 x) (pow x 2))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* x (- 2 x))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(+ (* x (- 2 x)) (pow y 2))
(fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (/ (* x (- 2 x)) (pow y 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) y) y)

rewrite187.0ms (3.5%)

Memory
22.4MiB live, 215.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01991
02882
114382
2102282
0888182
Stop Event
iter limit
node limit
iter limit
Counts
11 → 474
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 #s(literal 2 binary64) x)
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 #s(literal 2 binary64) x)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x (fma.f64 y y (*.f64 x x))) (+.f64 x (fma.f64 y y (*.f64 x x))))) (-.f64 x (+.f64 x (fma.f64 y y (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x (fma.f64 y y (*.f64 x x))) (+.f64 x (fma.f64 y y (*.f64 x x)))) (*.f64 x (+.f64 x (fma.f64 y y (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (-.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (-.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (*.f64 (-.f64 x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (*.f64 (-.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (*.f64 (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (*.f64 (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 x x) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 x x (*.f64 (neg.f64 x) x)))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 x x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 x x) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (neg.f64 x) x)))) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 x x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (-.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 y y))))
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(*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (+.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x))) (+.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x x))) (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (+.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (neg.f64 x) (+.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)))
(neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 4 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))))
(-.f64 #s(literal 2 binary64) x)
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 4 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x #s(literal 2 binary64))))

eval73.0ms (1.4%)

Memory
5.2MiB live, 149.4MiB allocated
Compiler

Compiled 16 876 to 1 609 computations (90.5% saved)

prune14.0ms (0.3%)

Memory
2.7MiB live, 47.7MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5845589
Fresh101
Picked235
Done000
Total5878595
Accuracy
100.0%
Counts
595 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
62.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))))
62.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
62.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
62.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
20.3%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
45.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
45.0%
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Compiler

Compiled 212 to 140 computations (34% saved)

simplify36.0ms (0.7%)

Memory
-20.5MiB live, 25.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))))
cost-diff1
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
cost-diff0
(fma.f64 x x x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
cost-diff1
(+.f64 (fma.f64 x x x) x)
cost-diff0
#s(approx (+ 2 x) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
cost-diff0
(fma.f64 y y x)
cost-diff0
(+.f64 (fma.f64 y y x) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
032130
169126
2169126
3382126
4616126
51009126
61337126
71654126
81739126
91833126
101852126
01852121
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
y
x
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
(+.f64 (fma.f64 x x x) x)
(fma.f64 x x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
x
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(fma.f64 y y x)
y
x
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(+.f64 (fma.f64 x x x) x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(fma.f64 x x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
x
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize98.0ms (1.8%)

Memory
1.7MiB live, 150.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy23.86366057741573
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))))
accuracy0.0
(fma.f64 x x x)
accuracy0.01171875
(+.f64 (fma.f64 x x x) x)
accuracy23.86366057741573
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
accuracy0.015625
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
accuracy23.86366057741573
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
accuracy32.21912967092671
#s(approx (+ 2 x) #s(literal 2 binary64))
accuracy0.0
(*.f64 x x)
accuracy35.18344829175917
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
accuracy0.0
(fma.f64 y y x)
accuracy0.00390625
(+.f64 (fma.f64 y y x) x)
accuracy23.76229308896567
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
Samples
88.0ms256×0valid
Compiler

Compiled 108 to 18 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 9.0ms (52.8% of total)
ival-mult: 7.0ms (41.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
14 → 26
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
(+.f64 (fma.f64 x x x) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
(fma.f64 x x x)
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ x (pow y 2))
(pow x 2)
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
x
(* x (+ 1 x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 1 (/ (pow y 2) x)))
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ x (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (* x x) (* x 2)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2))
1.0ms
x
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (* x x) (* x 2)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2))
1.0ms
x
@0
((+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (* x x) (* x 2)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2))
1.0ms
y
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (* x x) (* x 2)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2))
1.0ms
y
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (* x x) (* x 2)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2))

simplify233.0ms (4.4%)

Memory
-17.5MiB live, 213.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058206
1190194
2621190
33089188
08818174
Stop Event
iter limit
node limit
Counts
26 → 25
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ x (pow y 2))
(pow x 2)
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
x
(* x (+ 1 x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 1 (/ (pow y 2) x)))
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ x (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(+ x (pow y 2))
(fma.f64 y y x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* x (+ 1 (/ (pow y 2) x)))
(fma.f64 y y x)
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 1 binary64)))
(+ (* 2 x) (pow x 2))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (/ x (pow y 2))))
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) y y) y)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)

rewrite220.0ms (4.1%)

Memory
-11.9MiB live, 228.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025130
032122
1166118
21393118
08375113
Stop Event
iter limit
node limit
iter limit
Counts
14 → 419
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
(+.f64 (fma.f64 x x x) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
(fma.f64 x x x)
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x)) (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 y y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y x) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (*.f64 (-.f64 (fma.f64 y y x) x) (*.f64 x x))) (*.f64 (-.f64 (fma.f64 y y x) x) (-.f64 (fma.f64 y y x) x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (-.f64 x (fma.f64 y y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 y y x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 y y x) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (fma.f64 y y x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 y y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y y x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 #s(literal 2 binary64) x))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 y y x))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 x (fma.f64 y y x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (fma.f64 y y x) x)))
(+.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (fma.f64 y y x) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y))
(+.f64 (fma.f64 y y x) x)
(+.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x))
(+.f64 x (fma.f64 y y x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (*.f64 x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (neg.f64 y) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y y) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (*.f64 (-.f64 (*.f64 y y) x) (*.f64 x x))) (pow.f64 (-.f64 (*.f64 y y) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (-.f64 x (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (*.f64 y y) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 y y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 y y))
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(fma.f64 (/.f64 x x) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (fma.f64 x x x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 x x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 x (+.f64 #s(literal 1 binary64) x) x)
(fma.f64 x #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 x (fma.f64 x x x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x x) x)))
(-.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 x (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) x)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) x)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (fma.f64 x x x) x)))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (fma.f64 x x x) x)))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))
(+.f64 (fma.f64 x x x) x)
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))
(+.f64 x (fma.f64 x x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x x)

eval55.0ms (1%)

Memory
12.0MiB live, 112.7MiB allocated
Compiler

Compiled 11 174 to 1 229 computations (89% saved)

prune6.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3101311
Fresh000
Picked235
Done033
Total3127319
Accuracy
100.0%
Counts
319 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
62.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
62.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
62.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
20.3%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
45.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
45.0%
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Compiler

Compiled 108 to 72 computations (33.3% saved)

simplify40.0ms (0.7%)

Memory
-21.3MiB live, 70.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
cost-diff1
(fma.f64 x x (+.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
01324
13924
212724
330024
448624
563924
6106624
7134324
8161724
9170524
10179924
11182024
0182023
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
(fma.f64 x x (+.f64 x x))
x
(+.f64 x x)
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 x x (+.f64 x x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
x
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)

localize79.0ms (1.5%)

Memory
-19.0MiB live, 88.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x (+.f64 x x))
accuracy0.0
(+.f64 x x)
accuracy23.86366057741573
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
Samples
15.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (54.3% of total)
ival-add: 4.0ms (43.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
3 → 12
Calls
Call 1
Inputs
(fma.f64 x x (+.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
(+.f64 x x)
Outputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((+ (* x x) (+ x x)) (+ (+ (* x 2) (* x x)) (* y y)) (+ x x))
1.0ms
x
@-inf
((+ (* x x) (+ x x)) (+ (+ (* x 2) (* x x)) (* y y)) (+ x x))
0.0ms
x
@0
((+ (* x x) (+ x x)) (+ (+ (* x 2) (* x x)) (* y y)) (+ x x))
0.0ms
y
@-inf
((+ (* x x) (+ x x)) (+ (+ (* x 2) (* x x)) (* y y)) (+ x x))
0.0ms
y
@inf
((+ (* x x) (+ x x)) (+ (+ (* x 2) (* x x)) (* y y)) (+ x x))

simplify226.0ms (4.2%)

Memory
52.0MiB live, 209.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036104
110998
238994
3209188
0868184
Stop Event
iter limit
node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(+ (* 2 x) (pow x 2))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) y) y)

rewrite231.0ms (4.3%)

Memory
-13.8MiB live, 170.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
01323
18823
294218
01048017
Stop Event
iter limit
node limit
iter limit
Counts
3 → 153
Calls
Call 1
Inputs
(fma.f64 x x (+.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
(+.f64 x x)
Outputs
(*.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))))
(*.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (+.f64 (neg.f64 (neg.f64 x)) #s(literal 0 binary64)) (-.f64 (neg.f64 (neg.f64 x)) #s(literal 0 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (+.f64 x #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 2 binary64) (neg.f64 x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(*.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (-.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))) (-.f64 x (-.f64 x (*.f64 x x))))
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(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 x (-.f64 x (*.f64 x x)))
(+.f64 x (fma.f64 x x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(literal 0 binary64)

eval48.0ms (0.9%)

Memory
7.4MiB live, 51.5MiB allocated
Compiler

Compiled 4 114 to 525 computations (87.2% saved)

prune6.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1620162
Fresh000
Picked011
Done066
Total1627169
Accuracy
100.0%
Counts
169 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
62.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
62.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
62.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
20.3%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
45.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
45.0%
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Compiler

Compiled 299 to 118 computations (60.5% saved)

regimes90.0ms (1.7%)

Memory
-38.2MiB live, 66.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))))
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Calls

5 calls:

42.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
36.0ms
y
4.0ms
x
4.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1(*.f64 y y)
100.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
100.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes50.0ms (0.9%)

Memory
8.4MiB live, 56.6MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))))
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
Outputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
Calls

5 calls:

34.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
4.0ms
x
4.0ms
y
4.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1(*.f64 y y)
100.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
100.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes18.0ms (0.3%)

Memory
4.5MiB live, 51.6MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))))
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Calls

5 calls:

4.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
3.0ms
y
3.0ms
x
3.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
86.7%2(*.f64 y y)
93.8%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
71.4%2(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
94.2%3x
86.7%2y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes10.0ms (0.2%)

Memory
-18.6MiB live, 28.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Calls

4 calls:

3.0ms
y
2.0ms
x
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
86.7%2(*.f64 y y)
86.7%2y
78.9%3x
80.0%3(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes4.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Calls

2 calls:

2.0ms
y
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
86.7%2(*.f64 y y)
86.7%2y
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Calls

3 calls:

2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
y
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
79.8%3(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
70.8%3(*.f64 y y)
70.8%3y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes87.0ms (1.6%)

Memory
-9.3MiB live, 48.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Calls

2 calls:

86.0ms
x
1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Results
AccuracySegmentsBranch
77.0%3x
76.6%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes12.0ms (0.2%)

Memory
-34.9MiB live, 17.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Outputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Calls

5 calls:

7.0ms
x
1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
1.0ms
y
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
45.0%1(*.f64 y y)
45.0%1y
45.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
45.0%1x
45.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch0.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.36927113227955e+51
2.4672780001692254e+59
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch8.0ms (0.2%)

Memory
22.1MiB live, 22.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
1618138.3166853855
4057843.246237863
Samples
4.0ms80×0valid
Compiler

Compiled 179 to 128 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (79.6% of total)
ival-add: 1.0ms (39.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1618138.3166853855
4057843.246237863
Compiler

Compiled 174 to 133 computations (23.6% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.36927113227955e+51
2.4672780001692254e+59
0.0ms
-1.6711736573312938e-71
-1.7291249691155297e-74
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.36927113227955e+51
2.4672780001692254e+59
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify42.0ms (0.8%)

Memory
-21.4MiB live, 71.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042235
166235
2139235
3294235
4468235
5608235
6953235
73524235
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
(if (<=.f64 y #s(literal 2800000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 2800000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal -2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) (if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (* (+ 2 x) x) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
(if (<=.f64 y #s(literal 2800000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 2800000 binary64)) #s(approx (+ (* (+ 2 x) x) (* y y)) (+.f64 (fma.f64 x x x) x)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 2800000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 2800000 binary64)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal -2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) (if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal -2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) (if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 y y)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 y y)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))

soundness752.0ms (14.1%)

Memory
34.4MiB live, 644.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036104
110998
238994
3209188
0868184
0824
01320
16120
255420
0942719
01991
02882
114382
2102282
0888182
067263
1207257
2686249
33646245
08501231
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 425 to 168 computations (60.5% saved)

preprocess141.0ms (2.6%)

Memory
-5.7MiB live, 86.3MiB allocated
Remove

(abs y)

Compiler

Compiled 558 to 142 computations (74.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...